%0 Journal Article %T On the key exchange with nonlinear polynomial maps of degree 4 %A Aneta Wroblewska %A Vasyl Ustimenko %J Albanian Journal of Mathematics %D 2010 %I AulonaPress %X We say that the sequence gn, n 3, n ! 1 of polynomial trans-formation bijective maps of free module Kn over commutative ring K is asequence of stable degree if the order of gn is growing with n and the degreeof each nonidentical polynomial map of kind gnk is an independent constant c.A transformation b = gnk %K Key exchange %K public key cryptography %K symbolic computations %K graphs and digraphs of large girth. %U http://journals.aulonapress.com/index.php/ajm/article/view/297/379